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Finding the Fourth Proportional to 9,647.46, 14,470.92 and 4,098.02

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Solution

The fourth proportional to 9,647.46, 14,470.92 and 4,098.02 is: 6,146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.46 : 14,470.92 = 4,098.02 : x
  2. Step 2: Convert to fraction form
    9,647.46/14,470.92 = 4,098.02/x
  3. Step 3: Cross multiply
    9,647.46x = 14,470.92 × 4,098.02
  4. Step 4: Simplify right side
    9,647.46x = 59,302,047.22
  5. Step 5: Solve for x
    x = 59,302,047.22/9,647.46
  6. Step 6: Final answer
    x = 6,146.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.